algebra
posted by Anonymous .
Perimeter of a rectangle. The width of a rectangle is three fourths of the length. The perimeter of the rectangle becomes 50 cm when the length and the width are each increased by 2 cm. Find the length and the width.

original length = x
original width = 3x/4
2(x+2) + 2(3x/4 + 2) = 50
2x + 4 + 3x/2 + 4 = 50
times 2
4x + 8 + 3x + 8 = 100
7x = 84
x = 12
length = 12
width = 9
Respond to this Question
Similar Questions

algebra
The width of a rectangle is three fourths the length. The perimeter of the rectangle becomes 50 cm when the length and the width are each increased by 2cm. Find the length and the width. Draw a diagram and convince yourself that the … 
basic geometric
10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is onehalf the length. The perimeter … 
basic geometry
A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is onhalf the length . The perimeter of the … 
geometric
The perimeter of a rectangular carpet is 70feet. The with is three fourths the length .Find the width. 38. The length of a rectagular room is six times as the width . The perimeter 84 yards. find the width. 39. The width of a rectangle … 
math
Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W. a) Set up an equation for the perimeter involving … 
maths
the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm … 
math
The width of a rectangle is three fourths of the length. The perimeter of the rectangle becomes 50 cm when the length and the width are each increased by 2 cm. Find the length and the width. 
Algebra
The width of a rectangle is three fourths of the length. The perimeter of the rectangle becomes 50 cm when the legth and the width are each increased by two cm. Find the length and the width 
math
The length of a rectangle is twice the width. If the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. Find the dimensions of the … 
Math
The length of a rectangle is 5 inches less than 3 times the width. The perimeter of the rectangle is 14 inches. Find the length and width of the rectangle. I did this: Length 3x5; width 3x Then I did guess and check and came up with …